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All Journal Mikailalsys Journal of Advanced Engineering International Mikailalsys Journal of Mathematics and Statistics
Gatta, Abdulganiy Abdullahi
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Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering

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Journal : Mikailalsys Journal of Mathematics and Statistics

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Derivation of Two Parameters Poisson Rani Distribution and Its Properties Alao, Bamigbala Olateju; Peter, Pantuvo Tsoke; Babando, Ikrimat Aliyu; Gatta, Abdulganiy Abdullahi
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.4385

Abstract

This study introduces the Two Parameters Poisson Rani Distribution (TPPRD). The probability distribution of TPPRD is derived by assuming that the parameters of the Poisson distribution follow the Two Parameters Rani Distribution, resulting in the formation of the TPPRD. The study derives some of its fundamental properties and demonstrates that TPPRD is a special-case distribution capable of handling overdispersed count data. Additionally, the maximum likelihood estimators are used to derive equations for estimating the parameters of the Two Parameters Poisson Rani Distribution.
Co-Authors Akobi, Clement Alao, Bamigbala Olateju Babando, Ikrimat Aliyu Ikrimat, Aliyu Peter, Pantuvo Tsoke